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Finding the Fourth Proportional to 370,036.16, 510,649.84 and 200,270.24

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Solution

The fourth proportional to 370,036.16, 510,649.84 and 200,270.24 is: 276,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,036.16 : 510,649.84 = 200,270.24 : x
  2. Step 2: Convert to fraction form
    370,036.16/510,649.84 = 200,270.24/x
  3. Step 3: Cross multiply
    370,036.16x = 510,649.84 × 200,270.24
  4. Step 4: Simplify right side
    370,036.16x = 102,267,966,012.76
  5. Step 5: Solve for x
    x = 102,267,966,012.76/370,036.16
  6. Step 6: Final answer
    x = 276,372.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.